Functions - practice problems - page 6 of 13
Number of problems found: 246
- Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati
- An online
An online retailer offers a selection of electronic books for $4 each, plus a fixed download charge of $1 for any number of books. Write an equation to represent the total cost in dollars c for b books.
- Car rent 2
The cost (c), in dollars, charged by a car rental agency is calculated using the equation c = 12 +0.29m, where m represents the distance traveled in miles. Calculate the distance traveled for the cost of $56. 37.
- The TV
The TV cost CZK 9,999. First, they reduced her price by 15%, and then they became more expensive by 15%. How much does television cost now?
- The temperature 12
The temperature of a liquid was 25°C before being warmed at a rate of 10°C per minute for 5 minutes. It was then cooled at 3.5°C per minute for 6 minutes. What was the temperature of the liquid after cooling?
- Intersection 49623
Where is the intersection of the function y = -3x + 5 with the coordinate axes x and y? (where they are on the x-axis and y-axis)
- Sean Junkins
Sean Junkins works at X-Mobile. His pay is easily calculated using the expression 12h+8c, where h is the number of hours he works and c represents the number of phones he sells. Would Sean Junkins make more money if he worked 37 hours and sold three cell
- Intersection of functions
Draw a graph of the function given by the equation y = -2x +3, find its intersections with the coordinate axes, and complete the unknown coordinates A [3;? ], B [?; 8].
- Function's 48141
Calculate and write in the table 10 values of the function f: y = 3x + 1, and the function's graph from them.
- Determine 46853
Determine the number and in the function y = ax-2 if its graph passes through point A (1, -4).
- Rectangular
Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K, and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle
- A wheat
A wheat factory packages wheat in sacks of three different colors. The following table shows the amount of wheat (in kg) packed in each type of sack. White sack 2 kg Brown sack 3 kg Black sack 4 kg What is the total amount of wheat (in kg) which can be pa
- A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap
- Consider
Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge in cm, and y is the prism's volume in cm³. Graph the function
- Megapizza
Mega pizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion?
- Functions 42201
Y = x² + 4x-2 Quadratic functions Calculate and graph.
- Sleep vs. watch TV time
Using a data set relating to the number of episodes I watch on TV in a day (x) versus the number of hours of sleep I get that night (y), I construct the linear model y=−0.6x+11 Which of the following general observations can you make from this model? a) I
- Headphones
Charlie is saving money to buy a pair of headphones for $225. He has $37 so far and can save $15 per week. In how many weeks will he have enough money to buy the headphones?
- Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas
- Telco company
The upstairs communications company offers customers a special long-distance calling rate that includes a $0.10 per minute charge. Which of the following represents this fee schedule, where m represents the number of minutes and c is the call's overall co
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